over a point \(\overline{\Gamma }\in M^{trop}_{g,n}\)  is homeomorphic to \(\operatorname{Pic}^{|\phi |}(\overline{\Gamma })/\operatorname{Aut}(\overline{\Gamma })\)  (see Remark REF ), thus recovering (and slightly extending to our more general setting) the result of Abreu-Pacini [1]}. The advantage of working with topological stacks as in Theorem REF (REF ), rather than generalized cone complexes,
is that we do not have to quotient out by the automorphism group of \(\overline{\Gamma }\)  when describing the fiber of a point \(\overline{\Gamma }\) .
